GATE PH Solid State Physics PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

For a non-magnetic metal, which one of the following graphs best represents the behavior of

vs.

, where

is the heat capacity and

is the temperature?

Your answerChoose one option.

Diagram for Physics question 19 (figure 2)

Diagram for Physics question 19 (figure 3)

Diagram for Physics question 19 (figure 4)

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For nonrelativistic electrons in a solid, different energy dispersion relations (with effective masses

, and

) are schematically shown in the plots. Which one of the following options is CORRECT?

Your answerChoose one option.

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The figure schematically shows the

(magnetization) -

(magnetic field) plots for certain types of materials. Here

and

are plotted in the same scale and units. Which one of the following is the most appropriate combination?

Your answerChoose one option.

(Q) - Paramagnet; (R) - Type-I Superconductor; (S) - Antiferromagnet

(P) - Paramagnet; (Q) - Diamagnet; (R) - Type-I Superconductor

(P) - Paramagnet; (Q) - Antiferromagnet; (R) - Type-I Superconductor

(P) - Diamagnet; (R) - Paramagnet; (S) - Type-I Superconductor

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Graphene is a two dimensional material, in which carbon atoms are arranged in a honeycomb lattice with lattice constant

. As shown in the figure,

and

are two lattice vectors. Which one of the following is the area of the first Brillouin zone for this lattice?

Your answerChoose one option.

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Which one of the following options is the most appropriate match between the items given in Column 1 and Column 2?

Column 1	Column 2
(i) Visible light	P. Transition between core energy levels of atoms
(ii) X-rays	Q. Transition between nuclear energy levels
(iii) Gamma rays	R. Pair production
(iv) Thermal neutrons	S. Crystal structure determination
	T. Photoelectric effect

Your answerChoose one option.

(i) - T; (ii) - P,S,T; (iii) - Q,R; (iv) - S

(i) - P,T; (ii) - S; (iii) - R,S; (iv) - S,T

(i) - T; (ii) - R,S; (iii) - Q,R; (iv) - S

(i) - S,T; (ii) - P,S; (iii) - R,T; (iv) - S

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A neutron beam with a wave vector

and an energy 20.4 meV diffracts from a crystal with an outgoing wave vector

. One of the diffraction peaks is observed for the reciprocal lattice vector

of magnitude

. What is the diffraction angle in degrees (rounded off to the nearest integer) that

makes with the plane? (Use mass of neutron =

Kg)

Your answerChoose one option.

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In the first Brillouin zone of a rectangular lattice (lattice constants

Å and

Å), three incoming phonons with the same wave vector ⟨1.2 Å

, 0.6 Å

⟩ interact to give one phonon. Which one of the following is the CORRECT wave vector of the resulting phonon?

Your answerChoose one option.

⟨2.56 Å

, 0.23 Å

⟩

⟨3.60 Å

, 1.80 Å

⟩

⟨0.48 Å

, 0.23 Å

⟩

⟨3.60 Å

, −0.80 Å

⟩

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For a covalently bonded solid consisting of ions of mass

, the binding potential can be assumed to be given by

where

and

are positive constants. What is the Einstein frequency of the solid in Hz?

Your answerChoose one option.

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Potassium metal has electron concentration of

and the corresponding density of states at Fermi level is

. If the Pauli paramagnetic susceptibility of Potassium is

in standard scientific form, then the value of

(an integer) is ________ (Magnetic moment of electron is

; permeability of free space is

)

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A spectrometer is used to detect plasma oscillations in a sample. The spectrometer can work in the range of

. The minimum carrier concentration that can be detected by using this spectrometer is

. The value of

is __________ (Round off to two decimal places)

(Charge of an electron

, mass of an electron

and

)

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GATE PH Solid State Physics PYQs

Question 19

Question 20

Question 21

Question 22

Question 39

Question 45

Question 46

Question 47

Question 29

Question 35